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10312003020 = 223511107146021
BaseRepresentation
bin10011001101010010…
…01010110111001100
3222121122212000210210
421212221022313030
5132104333044040
64423130002420
7513353402514
oct114651126714
928548760723
1010312003020
114411947550
121bb9576410
13c8452b747
146db77c844
1540548d480
hex266a4adcc

10312003020 has 96 divisors (see below), whose sum is σ = 31793078016. Its totient is φ = 2476499200.

The previous prime is 10312003001. The next prime is 10312003043. The reversal of 10312003020 is 2030021301.

It is a happy number.

10312003020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10312002987 and 10312003005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2391 + ... + 143630.

It is an arithmetic number, because the mean of its divisors is an integer number (331177896).

Almost surely, 210312003020 is an apocalyptic number.

10312003020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10312003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896539008).

10312003020 is an abundant number, since it is smaller than the sum of its proper divisors (21481074996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10312003020 is a wasteful number, since it uses less digits than its factorization.

10312003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146151 (or 146149 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10312003020 its reverse (2030021301), we get a palindrome (12342024321).

The spelling of 10312003020 in words is "ten billion, three hundred twelve million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 107 110 132 165 214 220 321 330 428 535 642 660 1070 1177 1284 1605 2140 2354 3210 3531 4708 5885 6420 7062 11770 14124 17655 23540 35310 70620 146021 292042 438063 584084 730105 876126 1460210 1606231 1752252 2190315 2920420 3212462 4380630 4818693 6424924 8031155 8761260 9637386 15624247 16062310 19274772 24093465 31248494 32124620 46872741 48186930 62496988 78121235 93745482 96373860 156242470 171866717 187490964 234363705 312484940 343733434 468727410 515600151 687466868 859333585 937454820 1031200302 1718667170 2062400604 2578000755 3437334340 5156001510 10312003020